420045000 has 160 divisors (see below), whose sum is σ = 1346194080. Its totient is φ = 109120000.

The previous prime is 420044983. The next prime is 420045011. The reversal of 420045000 is 540024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 614659 + ... + 615341.

It is an arithmetic number, because the mean of its divisors is an integer number (8413713).

Almost surely, 2^420045000 is an apocalyptic number.

420045000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673097040).

420045000 is an abundant number, since it is smaller than the sum of its proper divisors (926149080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420045000 is a wasteful number, since it uses less digits than its factorization.

420045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 420045000 is about 20494.9993900951. Note that the first 3 decimals coincide. The cubic root of 420045000 is about 748.9139837395.

Adding to 420045000 its reverse (540024), we get a palindrome (420585024).

The spelling of 420045000 in words is "four hundred twenty million, forty-five thousand".